At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.20 m and the speed of the wall is 16.7 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 59.5 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider’s back and the wall, if the rider is to remain in place when the floor drops away?There is an illustration of a cylindrical room with a person inside. The cylinder is rotating, indicated by a circular arrow, and the person is shown with arrows indicating forces acting on them against the wall.**(a) Number:** [Input Field] **Units:** [Drop-down Menu]**(b) Number:** [Input Field] **Units:** [Drop-down Menu]

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.20 m and the speed of the wall is 16.7 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall.

(a) How much centripetal force acts on a 59.5 kg rider?
(b) What is the minimum coefficient of static friction that must exist between the rider’s back and the wall, if the rider is to remain in place when the floor drops away?

There is an illustration of a cylindrical room with a person inside. The cylinder is rotating, indicated by a circular arrow, and the person is shown with arrows indicating forces acting on them against the wall.

**(a) Number:** [Input Field] **Units:** [Drop-down Menu]

**(b) Number:** [Input Field] **Units:** [Drop-down Menu]

Expert Solution

Step 1

Given:-

In amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away

The radius of the room is r = 3.20 m

The speed of the wall is v = 16.7 m/s when the floor falls away

The mass of the rider is m = 59.5 kg

Find:-

a) How much centripetal force acts on a rider

b) What is the minimum, coefficient of the static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?

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